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2.081J/16.230J Plates and Shells Self-Evaluation Quiz Wednesday, March 1 Problem 1 Write in the expanded form: (a) Mαβ καβ (b) w,αβ (c) εαβ δ αβ (d) w,α w,β (e) w,αβαβ Problem 2 Compare the bending rigidity of a beam EI and that of a plate D, and point out the diﬀerence in terms of dimensional quantity and material parameters. Problem 3 What is the buckling coeﬃcient for the square plate clamped on all four edges? See the graph on Section 4.3.3. Problem 4 A square simply supported plate is loaded by a point force P at the center. Determine the load-deﬂection relationship (P vs. w0 ) using the energy method. [Hint:Assume the sinusoidal shape for the deﬂection, the same as in Problem #1 of Homework #2.] 1